122112012200 has 48 divisors (see below), whose sum is σ = 284039749980. Its totient is φ = 48822556160.

The previous prime is 122112012173. The next prime is 122112012203. The reversal of 122112012200 is 2210211221.

It can be written as a sum of positive squares in 6 ways, for example, as 93842970244 + 28269041956 = 306338^2 + 168134^2 .

It is a super-2 number, since 2×122112012200² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122112012203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 304652 + ... + 580548.

Almost surely, 2^122112012200 is an apocalyptic number.

122112012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122112012200 is an abundant number, since it is smaller than the sum of its proper divisors (161927737780).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122112012200 is a wasteful number, since it uses less digits than its factorization.

122112012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278126 (or 278117 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 122112012200 its reverse (2210211221), we get a palindrome (124322223421).

The spelling of 122112012200 in words is "one hundred twenty-two billion, one hundred twelve million, twelve thousand, two hundred".